68674800 has 120 divisors (see below), whose sum is σ = 222029440. Its totient is φ = 18144000.

The previous prime is 68674777. The next prime is 68674807. The reversal of 68674800 is 847686.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68674807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181011 + ... + 181389.

Almost surely, 2^68674800 is an apocalyptic number.

68674800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111014720).

68674800 is an abundant number, since it is smaller than the sum of its proper divisors (153354640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68674800 is a wasteful number, since it uses less digits than its factorization.

68674800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 68674800 is about 8287.0260045447. The cubic root of 68674800 is about 409.5112160575.

The spelling of 68674800 in words is "sixty-eight million, six hundred seventy-four thousand, eight hundred".